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Solve equation using factorisation method: 2(x2 – 6) = 3(x – 4)

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Question

Solve equation using factorisation method:

2(x2 – 6) = 3(x – 4)

Sum
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Solution

2(x2 – 6) = 3(x – 4)

⇒ 2x2 – 12 = 3x – 12

⇒ 2x2 – 3x = 0

⇒ x(2x – 3) = 0

Since x = 0 or 2x – 3 = 0

Then x = 0 or x = `3/2`

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